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You are faced with the following decision tree of either investing or not investing. The decision tree shows your wealth after the different outcomes. For example, your base wealth is $40,000, which is what you will have if you don't invest. If you invest, you have a 0.45 probability of gaining $50,000, which would give you a wealth of $90,000; and a 0.55 probability of losing $30,000, leaving you with a wealth of $10,000. Suppose you are risk-averse and have the utility function U = W0.5
Calculate your utility if you don't invest.
Calculate your expected utility (EU) if you invest.
Given your utility function, should you choose 'Don't invest' or 'Invest'?
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